Search a number
-
+
32020311120 = 24357233372459
BaseRepresentation
bin11101110100100011…
…110010110001010000
310001122112212100012220
4131310203302301100
51011034144423440
622413202221040
72212331103510
oct356443626120
9101575770186
1032020311120
11126416a3746
126257654780
133033b01375
14179a8ad840
15c7619e8d0
hex7748f2c50

32020311120 has 320 divisors, whose sum is σ = 118775255040. Its totient is φ = 6977101824.

The previous prime is 32020311079. The next prime is 32020311131. The reversal of 32020311120 is 2111302023.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 32020311120.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13020451 + ... + 13022909.

It is an arithmetic number, because the mean of its divisors is an integer number (371172672).

Almost surely, 232020311120 is an apocalyptic number.

32020311120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32020311120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59387627520).

32020311120 is an abundant number, since it is smaller than the sum of its proper divisors (86754943920).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

32020311120 is a wasteful number, since it uses less digits than its factorization.

32020311120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2842 (or 2836 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 32020311120 its reverse (2111302023), we get a palindrome (34131613143).

The spelling of 32020311120 in words is "thirty-two billion, twenty million, three hundred eleven thousand, one hundred twenty".